U.S. patent application number 11/214876 was filed with the patent office on 2005-12-29 for double-lobe type rotor design process.
This patent application is currently assigned to Liung Feng Industrial Co., Ltd.. Invention is credited to Chuang, Feng-Ming, Chung, Tien-Tung, Lin, Heng-I.
Application Number | 20050287029 11/214876 |
Document ID | / |
Family ID | 46304999 |
Filed Date | 2005-12-29 |
United States Patent
Application |
20050287029 |
Kind Code |
A1 |
Chung, Tien-Tung ; et
al. |
December 29, 2005 |
Double-lobe type rotor design process
Abstract
A double-lobe type rotor design process includes a process for
forming a defined rotor and a process for forming a conjugate
rotor, wherein the defined rotor and the conjugate rotor intermesh
and conjugate to each other. The rotor profile curves suitably for
the completed operation period of carryover, suction and exhaust
could be well defined by proper parameters, thereby optimizing
rotor performance, enhancing compression ratio, providing a smooth
suction and exhaust process and avoiding noise and vibration.
Inventors: |
Chung, Tien-Tung; (Taipei
City, TW) ; Lin, Heng-I; (Taipei Hsien, TW) ;
Chuang, Feng-Ming; (Taipei Hsien, TW) |
Correspondence
Address: |
TROXELL LAW OFFICE PLLC
SUITE 1404
5205 LEESBURG PIKE
FALLS CHURCH
VA
22041
US
|
Assignee: |
Liung Feng Industrial Co.,
Ltd.
|
Family ID: |
46304999 |
Appl. No.: |
11/214876 |
Filed: |
August 31, 2005 |
Related U.S. Patent Documents
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Application
Number |
Filing Date |
Patent Number |
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11214876 |
Aug 31, 2005 |
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10449080 |
Jun 2, 2003 |
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6776594 |
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Current U.S.
Class: |
418/206.5 |
Current CPC
Class: |
F04C 18/123
20130101 |
Class at
Publication: |
418/206.5 |
International
Class: |
F01C 001/08; F01C
001/18; F01C 001/24; F04C 018/00 |
Claims
What is claimed is:
1. A double-lobe type rotor design process, being adapted for
forming a defined rotor and a conjugate rotor intermeshing and
conjugating to each other, comprising: a process for forming a
defined rotor, including: designating maximum radius R and width D
of the defined rotor, pitch circles of the defined rotor and the
conjugate rotor with a pitch circle radius Rp and a first center t1
and a third center t3 respectively, wherein a distance between the
center t1 and the third center t3 is 2Rp, the pitch circle radius
Rp is smaller than R, and R is in appropriate ratio with respect to
Rp; designating the first center t1 as a center of the defined
rotor, a reference horizontal line h1 being defined through the
first center t1 and the third center t3 as assistant line, a base
point p0 on the reference horizontal line h1 being spaced a
distance R from the first center t1, a conjugate curve E' is
created when the base point p0 rotating about the first center t1,
a curve E being drawn symmetrically to the conjugate curve E' about
the tangent point p7 of the two pitch circles of defined rotor and
conjugate rotor, the curve E serveing as a portion of a first lobe
of the defined rotor, third point p3 being the intersection of
curve E and horizontal line h1; determining a first point p1 on a
profile curve of the defined rotor 1 being defined by a first
central angle .alpha. and the first center t1 and a radius of R, a
first arc A being defined between the base point p0 and the first
point p1 and smoothly connecting with the curve E; taking a second
line h2 being defined by the reference horizontal line h1 and the
first central angle .alpha., a second center t2 being located on
the second line h2 and being spaced a distance r.sub.B apart from
the first point p1, r.sub.B being defined by a trigonometric
function equation, a second arc B being defined with a center of t2
and a radius of r.sub.B and connecting with the first point p1 and
a second point p2, the second point p2 being located on a vertical
line through the second center t2 and over the second center t2,
the second arc B serving as a portion of the first lobe of the
defined rotor; taking the third center t3 of the pitch circle of
the conjugate rotor 2 being located on the reference horizontal
line h1 and being spaced a distance 2Rp apart from the first center
t1, a fourth point p4 being defined by a second central angle
.beta. and a circle with a center of t3 and a radius of R, a third
arc F being defined by connecting with the third point p3 and the
fourth point p4; taking a third line h3 being defined by the
reference horizontal line h1 and a second central angle .beta., a
fourth center t4 being located on the third line h3 and being
spaced a distance r.sub.C apart from the fourth point p4, r.sub.C
being defined by a trigonometric function equation, a fourth arc C
being defined with a center of t4 and a radius of r.sub.C and
connecting with the fourth point p4 and a fifth point p5, the fifth
point p5 being located on a vertical line through the fourth center
t4 and under the fourth center t4; taking a second horizontal line
Y being defined by connecting the second point p2 and a seventh
point p6 which is symmetric to the fifth point p5 about the first
center t1; connecting the curve E, the first arc A, the second arc
B, the third arc F, the fourth arc C and the horizontal line Y
together to form a profile of the first lobe of the defined rotor,
a profile of a second lobe of the defined rotor being drawn
symmetrically to the profile of the first lobe; a process for
forming the conjugate rotor, including: creating the conjugate
rotor by connecting respective conjugate curves of the curve E, the
first arc A, the second arc B, the third arc F, the fourth arc C
and the horizontal line Y.
2. The double-lobe type rotor design process as claimed in claim 1,
wherein the r.sub.B is defined by following equation, and R is the
maximum radius of the defined rotor 1, namely, the distance between
the first center t1 and the first point p1. 3 r B + ( R - r B ) sin
= D 2 r B = D / 2 - R sin 1 - sin
3. The double-lobe type rotor design process as claimed in claim 1,
wherein the radius r.sub.C is defined by the following equation,
and R is the maximum radius of the defined rotor 1, namely, the
distance between the center t4 and the fourth point p4. 4 r C + ( R
+ r C ) sin = D 2 r C = D / 2 - R sin 1 + sin
4. The double-lobe type rotor design process as claimed in claim 1,
wherein the maximum radius R of the defined rotor and the pitch
circle radius Rp are in a ratio R=3Rp/2.
Description
BACKGROUND OF THE INVENTION
[0001] Field of the Invention
[0002] This application is a continuation-in-part application of
U.S. Pat. No. 6,776,594 filed Jun. 2, 2003 entitled "Rotor
Mechanism".
[0003] The present invention relates to a double-lobe type rotor
design process which is able to create a defined rotor and a
conjugate rotor intermeshing and conjugating to each other from
carryover to suction and from exhaust to the end of the completed
operation period by different parameters, and evaluate optimal
rotor profiles to be used for some systems like a vacuum pump, an
air booster, a compressor and a supercharger, enhancing compression
ratio, providing a smooth suction and exhaust process and avoiding
noise and vibration.
[0004] A double-lobe type rotor used in multistage type vacuum
pumps, compressors, air boosters or superchargers generally
comprise a defined rotor and a conjugate rotor intermeshing to each
other. A pair of lobes of each rotor provides periodic compression
operation of gas suction and gas exhaust. Therefore, the meshing
mechanism of two lobes of the rotors is very important. If the
meshing mechanism of the two lobes of the rotors is not good
enough, noise and vibration may occur during the periodic gas
suction, gas exhaust, and carry over processes of the rotors.
Moreover, wear may occur due to the improper intermeshing of the
rotors thereby reducing the durability of operation.
[0005] U.S. Pat. Nos. 1,426,820, 4,138,848, 4,224,016, 4,324,538,
4,406,601, 4,430,050 and 5,149,256 disclose relevant rotors.
Referring to FIG. 9, lobes of a pair of rotors 8, 9 of U.S. Pat.
No. 5,149,256 include a tip portions 82, 92 formed at ajunctions
between the concave portions 80, 90 and the arcuate surfaces 81, 91
so that there is discontinuity of the rotors 80, 90's curves.
Therefore, during the moments from inefficient compression period
to the period of air's starting intake, the top portions 83, 93 of
the rotors 8, 9 will operate unsmoothly at the tip portion 82, 92
thereby resulting in noise and vibration.
[0006] To overcome the defects mentioned above, U.S. Pat. No.
6,776,594 provides two rotors with smooth operation curve and
conjugate to each other. The main feature is that the operation
curve provided by the rotors from the carryover period to the
period of starting suction and from the exhaust period to the end
is defined by a couple of smoothly connected curves rather than a
couple of connected arc and concave curve, thereby avoiding noise
and vibration during the periodic operation of suction, exhaust,
and carryover, etc
SUMMARY OF THE INVENTION
[0007] Accordingly, an object of the present invention is to
provide a double-lobe type rotor design process which is able to
create a defined rotor and a conjugate rotor intermeshing and
conjugating to each other from carryover to suction and from
exhaust to the end of the completed operation period by different
parameters, and evaluate optimal rotor profiles to be used for some
systems like a vacuum pump, an air booster, a compressor and a
supercharger, enhancing compression ratio, providing a smooth
suction and exhaust process and avoiding noise and vibration.
[0008] A double-lobe type rotor design process of the present
invention is adapted for forming a defined rotor and a conjugate
rotor intermeshing to each other. The rotor profile curves suitably
for the completed operation period of carryover, suction and
exhaust could be well defined by proper parameters, thereby
optimizing rotor performance, enhancing compression ratio,
providing a smooth suction and exhaust process and avoiding noise
and vibration.
BRIEF DESCRIPTION OF THE DRAWINGS
[0009] FIG. 1 is a sketch view of forming a tip conjugate curve of
a lobe type rotor design process of the present invention.
[0010] FIG. 2 is a sketch view of forming a defined rotor profile
of a lobe type rotor design process.
[0011] FIG. 3 is a sketch view of forming a conjugate rotor profile
of a lobe type rotor design process.
[0012] FIG. 4 is an example of a lobe type rotor design process,
where the maximum diameter R of the defined rotor is 60 mm, width D
thereof is 85 mm, central angle .alpha. thereof is 3.degree.,
central angel .beta. is 6.degree..
[0013] FIG. 5 is a sketch view of the defined rotor profile
varying, where width D thereof is 52, 55, 60, 65, 75, 80 mm.
[0014] FIG. 6 is a sketch view of the defined rotor profile
varying, where central angle .alpha. thereof is 3.degree.,
6.degree., 9.degree., 12.degree..
[0015] FIG. 7 is a sketch view of the defined rotor profile
varying, where central angle .beta. thereof is 3.degree.,
6.degree., 9.degree., 12.degree..
[0016] FIG. 8 is a list of different values of the lobes of the
defined rotor and the conjugate rotor according to different
parameters in FIGS. 4, 6 and 7.
[0017] FIG. 9 is the planar view of a rotor mechanism of the U.S.
Pat. No. 5,149,256.
DESCRIPTION OF THE PREFERRED EMBODIMENTS
[0018] A double-lobe type rotor design process in accordance with
the present invention designs the profile of a defined rotor 1 by
suitable parameters, and then get the profile of conjugate rotor 2
with conjugate theory. With reference to FIGS. 1 and 2, designing
process for forming the profile of defined rotor 1 comprises the
following steps:
[0019] 1. Specifying maximum radius R and width D of the defined
rotor 1, pitch circles of the defined rotor 1 and the conjugate
rotor 2 with a pitch circle radius Rp and centers t1 and t3
respectively, wherein Rp is smaller than R by the ratio of
R=3Rp/2.
[0020] 2. The first pitch circle center t1 is designated as the
center of the defined rotor 1. A reference horizontal line h1 is
defined through the first center t1 and the third center t3 as
assistant line. A base point p0 on the reference horizontal line h1
is spaced a distance R apart from the first center t1. Referring to
FIG. 1, a conjugate curve E' is created when the base point p0
rotating about the first center t1. Referring to FIGS. 1 and 2, a
curve E is drawn symmetrically to the conjugated curve E' about the
tangent point p7 of the two pitch circles of the defined rotor 1
and the conjugate rotor 2. The curve E serves as a portion of a
first lobe of the defined rotor 1. A third point p3 is an
intersection of the curve E and the horizontal line h1.
[0021] 3. A first point p1 on the profile of the defined rotor 1 is
defined by a first central angle .alpha. and a circle with a center
of t1 and a radius of R. A first arc A is defined between the base
point p0 and the first point p1 and with a center of t1 and a
radius of R.
[0022] 4. A second line h2 is defined by the reference horizontal
line h1 and the first central angle .alpha.. A second center t2 is
designated on the second line h2 and is spaced a distance r.sub.B
apart from the first point p1.
[0023] 5. The r.sub.B is defined by following equation, wherein R
is the maximum radius of the defined rotor 1, namely, the distance
between the first center t1 and the first point p1. 1 r B + ( R - r
B ) sin = D 2 r B = D / 2 - R sin 1 - sin
[0024] 6. The second arc B is defined by a circle with a center of
t2 and a radius of r.sub.B, and connecting with the first point p1
and a second point p2. The second point p2 is located on a vertical
line through the second center t2 and above the center point
t2.
[0025] 7. The third center t3 of the pitch circle of the conjugate
rotor 2 is located on the reference horizontal line h1, and is
spaced a distance 2Rp apart from the first center t1. A fourth
point p4 is defined by a second central angle .beta. and a circle
with a center of t3 and a radius of R. A third arc F is defined by
connecting with the third point p3 and the fourth point p4.
[0026] 8. A third line h3 is defined by the reference horizontal
line h1 and the second central angle .beta.. A fourth center t4 is
located on the third line h3 and is spaced a distance r.sub.C apart
from the fourth point p4.
[0027] 9. The radius r.sub.C is defined by the following equation,
wherein R is the maximum radius of the defined rotor 1, namely, the
distance between the center t3 and the fourth point p4. 2 r C + ( R
+ r C ) sin = D 2 r C = D / 2 - R sin 1 + sin
[0028] 10. A fourth arc C is defined with a circle center of t4 and
a radius of r.sub.C, and connecting with the fourth point p4 and a
fifth point p5. The fifth point p5 is located on a vertical line
through the fourth center t4 and below the fourth center t4.
[0029] 11. A second horizontal line Y is defined by connecting the
second point p2 and a seventh point p6 which is symmetric to the
fifth point p5 about the first center t1.
[0030] 12. Smoothly connecting the curve E, the first arc A, the
second arc B, the third arc F, the fourth arc C and the horizontal
line Y forms a profile of a first lobe of the defined rotor 1. A
profile of a second lobe of the defined rotor 1 is drafted
symmetrically to that of the first lobe about the first center t1,
as shown by broken line in FIG. 2.
[0031] Thus, a profile of the defined rotor 1 with two lobes is
completed through the design process described above.
[0032] Referring to FIG. 3, a profile of the conjugate rotor 2 is
created by connecting the respective conjugate curves of the
profile of the defined rotor 1, including the respective conjugate
curves of the curve E, the first arc A, the second arc B, the third
arc F, the fourth arc C and the horizontal line Y
[0033] FIG. 4 shows an application of the present design process,
where the maximum radius R of the defined rotor 1 is 60 mm, width D
of the defined rotor 1 is 85 mm, the first central angle .alpha. is
3.degree. and the second central angle .beta. is 6.degree.. The
defined rotor 1 and the conjugate rotor 2 have generally identical
profile, and therefore have similar mechanical characteristics.
[0034] FIG. 5 shows some applications of the present design
process, where the maximum radius R of the defined rotor 1 remains
60 mm, while the width of the defined rotor 1 is 52, 55, 60, 65,
70, 75, 80 mm, respectively. Based on conjugate characteristic, a
profile of the defined rotor 1 with minimum width S1 corresponds to
a profile of the conjugate rotor 2 with maximum width L1. The width
D may be subject to variation in accordance with different
practical applications.
[0035] Referring to FIGS. 6 and 7, the maximum radius R of the
defined rotor 1 is 60 mm, and the width of the defined rotor 1 is
85 mm, while the first central angle .alpha. and the second central
angle .beta. are 3.degree., 6.degree., 9.degree., 12.degree.,
respectively. The profile of the defined rotor 1 varies with
different first central angle .alpha. and second central angle
.beta.. As clearly shown in FIG. 6, with the first central angle
.alpha. becoming larger, outward sides of the lobes of the defined
rotor 1 become larger, and outward sides of the lobes of the
conjugate rotor 2 become smaller. As clearly shown in FIG. 7, with
the second central angle .beta. becoming larger, another outward
sides of the lobes of the defined rotor 1 become larger, and
another outward sides of the lobes of the conjugate rotor 2 become
smaller. FIG. 8 is a table collecting applications of the defined
rotor 1 and the conjugate rotor 2 in FIGS. 5 through 7, where the
design parameters of width D, the first central angle .alpha. and
second central angle .beta. vary, resulting in different radius
r.sub.B and r.sub.C, and correspondingly profiles of the defined
rotor 1 and the conjugate rotor 2 vary.
[0036] During the design process described above the defined rotor
1 and the conjugate rotor 2 intermesh to each other from carryover
to suction and from exhaust to the end of the completed operation
period, operation curves of the defined rotor 1 and the conjugate
rotor 2 smoothly connect, eliminating noise and vibration and
enhancing compression ratio and transporting volume.
[0037] It is understood that the invention may be embodied in other
forms without departing from the spirit thereof. Thus, the present
examples and embodiments are to be considered in all respects as
illustrative and not restrictive, and the invention is not to be
limited to the details given herein.
* * * * *